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2332101120102 = 23213233067141283
BaseRepresentation
bin100001111011111100000…
…011110001000001100110
322020221120010200202000100
4201323330003301001212
5301202120341320402
64543204044324530
7330326432310015
oct41737403610146
98227503622010
102332101120102
1181a047314806
12317b87b43746
1313bbbab489b0
1480c350d8a7c
15409e399e71c
hex21efc0f1066

2332101120102 has 96 divisors (see below), whose sum is σ = 5680050824448. Its totient is φ = 686142249408.

The previous prime is 2332101120101. The next prime is 2332101120163. The reversal of 2332101120102 is 2010211012332.

2332101120102 is a `hidden beast` number, since 233 + 210 + 1 + 120 + 102 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2332101120101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16435953 + ... + 16577235.

It is an arithmetic number, because the mean of its divisors is an integer number (59167196088).

Almost surely, 22332101120102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2332101120102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2840025412224).

2332101120102 is an abundant number, since it is smaller than the sum of its proper divisors (3347949704346).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2332101120102 is a wasteful number, since it uses less digits than its factorization.

2332101120102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144394 (or 144391 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2332101120102 its reverse (2010211012332), we get a palindrome (4342312132434).

The spelling of 2332101120102 in words is "two trillion, three hundred thirty-two billion, one hundred one million, one hundred twenty thousand, one hundred two".

Divisors: 1 2 3 6 9 13 18 23 26 39 46 69 78 117 138 207 234 299 414 598 897 1794 2691 3067 5382 6134 9201 18402 27603 39871 55206 70541 79742 119613 141082 141283 211623 239226 282566 358839 423246 423849 634869 717678 847698 917033 1269738 1271547 1834066 1836679 2543094 2751099 3249509 3673358 5502198 5510037 6499018 8253297 9748527 11020074 16506594 16530111 19497054 29245581 33060222 42243617 58491162 84487234 126730851 253461702 380192553 433314961 760385106 866629922 1299944883 2599889766 3899834649 5633094493 7799669298 9966244103 11266188986 16899283479 19932488206 29898732309 33798566958 50697850437 59797464618 89696196927 101395700874 129561173339 179392393854 259122346678 388683520017 777367040034 1166050560051 2332101120102